1. make an equation
4x+7(20) = 5(x+20)
2. multiply the numbers and distribute 5 through the parenthesis
4x+140 = 5x+100
3. move variables to the left side and change its sign and move constant to the right side and change its sign
4x-5x = 100-140
4. collect the like terms and calculate the difference
-x = -40
5. change the signs on both sides of the equation
x = 40
he needs to use 40 pounds of the cheaper coffee.
hope this helped!
Answer:
90 Degrees.
The angle which is equal to its supplement is 90 degrees.
Answer:
y = 0.325X + 7.5 ;
21.5 ;
R^2 = 0.7655 ;
r = 0.8749
Step-by-step explanation:
No. of loans originated ____ sheets of p/paper
45 ______________22
25 ______________ 13
50 _____________ 24
60 _____________ 25
40 _____________ 21
25 _____________ 16
35 _____________ 18
40 _____________ 25
Using the linear regression calculator : the linear model obtained is:
y = 0.325X + 7.5
y = predicted variable = sheets of photocopy paper
X = number of loans originated
0.325 = slope
Intercept = 7.5
B.)
X = 42
y = 0.325(42) + 7.5
y = 21.15
C.)
The Coefficient of determination as determined using the correlation coefficient calculator is :
R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.
D.) The correlation Coefficient (r) :
r = sqrt(R²)
r = sqrt(0.7655)
r = 0.8749
This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.
The graph of the function is linear and translation down 4 units. Thus option A is a correct option.
According to the statement
We have to find that the transformation of the parent function that it represents.
So, For this purpose, we know that the
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
From the given information:
The given function is a g(x) = x + 4.
From this it is clear that the the function is a linear and the there is a some addition of the number to make graph linear.
then we can say that the The graph is linear and translation down 4 units.
So, The graph of the function is linear and translation down 4 units. Thus option A is a correct option.
Learn more about function here
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